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On the Gauss map of null scrolls

On the Gauss map of null scrolls

The purpose of this paper is to characterize a class of non-degenerate ruled surfaces in $R_{1}^{3}$, which are said to be null scrolls, satisfying the condition $\Delta\xi=A\xi$, where $\xi$ denote their Gauss maps and $A\in gl(3, R)$.